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Finding the Fourth Proportional to 599.94, 827.40 and 413.13

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Solution

The fourth proportional to 599.94, 827.40 and 413.13 is: 569.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.94 : 827.40 = 413.13 : x
  2. Step 2: Convert to fraction form
    599.94/827.40 = 413.13/x
  3. Step 3: Cross multiply
    599.94x = 827.40 × 413.13
  4. Step 4: Simplify right side
    599.94x = 341,823.76
  5. Step 5: Solve for x
    x = 341,823.76/599.94
  6. Step 6: Final answer
    x = 569.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.